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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function, exponential and a power functions > Involving products of the direct functions, exponential and a power functions > Involving products of several direct functions, exponential and a power functions > Involving zalpha-1ep z sinh(a z) sinh(b z) sinh(c z)





http://functions.wolfram.com/01.19.21.2392.01









  


  








Input Form





Integrate[z^(\[Alpha] - 1) E^(p z) Sinh[a z] Sinh[b z] Sinh[c z], z] == (1/8) z^\[Alpha] ((-((a + b - c - p) z)^(-\[Alpha])) Gamma[\[Alpha], (a + b - c - p) z] - Gamma[\[Alpha], (a - b + c - p) z]/ ((a - b + c - p) z)^\[Alpha] + Gamma[\[Alpha], (a + b + c - p) z]/ ((a + b + c - p) z)^\[Alpha] - Gamma[\[Alpha], (-(a - b - c + p)) z]/ ((-(a - b - c + p)) z)^\[Alpha] + Gamma[\[Alpha], (-(a + b - c + p)) z]/ ((-(a + b - c + p)) z)^\[Alpha] + Gamma[\[Alpha], (-(a - b + c + p)) z]/ ((-(a - b + c + p)) z)^\[Alpha] + Gamma[\[Alpha], (-(-a + b + c + p)) z]/ ((-(-a + b + c + p)) z)^\[Alpha] - Gamma[\[Alpha], (-(a + b + c + p)) z]/ ((-(a + b + c + p)) z)^\[Alpha])








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18